We look at the division of 421000 by 64 
We want to figure out the number of times 421000 can be divided by 64.

Advancing to step 1:
4 divided by 64 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 64

Let's proceed to step 2:
The number 64 fits into 42 0 times, leaving a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 64

On to step 3:
421 divided by 64 is 6 with a remainder of 37.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 37 after subtracting 384 from 421.
Grab the next digit (0) from the dividend, add it to 37, then carry on: 370 / 64

On to step 4:
64 goes into 370 5 times with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 65.0
The remainder is 50 after subtracting 320 from 370.
Grab the next digit (0) from the dividend, add it to 50, then carry on: 500 / 64

On to step 5:
If we divide 500 by 64, we get 7 and a remainder of 52.
The next digit of our result is 7. 
Result so far: 657.0
Deduct 448 from 500 and we're left with 52.
Include the next digit (0) from the dividend after 52, then repeat: 520 / 64

On to step 6:
64 can be fit into 520 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 6578.0
Subtracting 512 from 520 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
64 goes into 80 1 times with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 6578.1
If we take 64 away from 80, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
160 divided by 64 is 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 6578.12
Subtract 128 from 160 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
If we divide 320 by 64, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 6578.125
The remainder is 0 after subtracting 320 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
When dividing 0 by 64, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6578.125
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
64 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6578.125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 6578.125, with a leftover of 0.0.